Find the Area of the Region Bounded by the Curves $y = x ^ { 3 } - 2 x$

question 3

Multiple Choice

Find the area of the region bounded by the curves $y = x ^ { 3 } - 2 x$ and $y = - x$

• A) \(\frac { 1 } { 4 }\)
• B) \(\frac { 1 } { 9 }\)
• C) \(\frac { 1 } { 18 }\)
• D) \(\frac { 2 } { 15 }\)
• E) \(\frac { 1 } { 2 }\)
• F) \(\frac { 1 } { 6 }\)
• G)4
• H)2

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Definitions:

Private Good

A product or service that is excludable and rivalrous, meaning its consumption by one individual prevents its consumption by another.

Optimal Level

Optimal Level refers to the most efficient, beneficial, or profitable position or state for a particular process, activity, or economic outcome.

Public Good

A good that is non-excludable and non-rivalrous, meaning it is accessible to all and one individual's use does not diminish its availability to others.

Preferences

Individual choices or prioritizations that indicate the degree of personal satisfaction or value someone derives from various options.